Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems

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dc.creatorOvsienko, V.
dc.creatorTabachnikov, S.
dc.date1999-09-24
dc.date.accessioned2026-07-07T05:30:53Z
dc.date.available2026-07-07T05:30:53Z
dc.descriptionThe paper concerns discrete versions of the three well-known results of projective differential geometry: the four vertex theorem, the six affine vertex theorem and the Ghys theorem on four zeroes of the Schwarzian derivative. We study geometry of closed polygonal lines in $\bbRP^d$ and prove that polygons satisfying a certain convexity condition have at least d+1 flattenings. This result provides a new approach to the above mentioned classical theorems.
dc.descriptionLaTeX document, 16 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/9909150
dc.identifierhttp://arxiv.org/abs/math/9909150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79150
dc.subjectDifferential Geometry
dc.titleProjective geometry of polygons and discrete 4-vertex and 6-vertex theorems
dc.typetext

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